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|--------|--------|
|        |        |

RegistrationNos. 002-57265/811-2684

UNITED STATESSECURITIES AND EXCHANGE COMMISSIONWASHINGTON, D.C. 20549FORM N-1A

REGISTRATION STATEMENT UNDER THE SECURITIES ACT OF 1933  /X/

      

Post-EffectiveAmendment No. 75     /X/

and/or

REGISTRATION STATEMENT UNDER THE INVESTMENT COMPANY ACT OF 1940 /X/

AmendmentNo. 55      /X/

T. ROWE PRICE TAX-FREE INCOME FUND, INC.

ExactName of Registrant as Specified in Charter

100 East Pratt Street, Baltimore, Maryland 21202Address ofPrincipal Executive Offices

410-345-2000Registrant’s Telephone Number, Including AreaCode

DavidOestreicher

100 East Pratt Street, Baltimore, Maryland 21202Name and Address of Agent forService

 It is proposed that this filing willbecome effective (check appropriate box):

/X/ Immediately uponfiling pursuant to paragraph (b)

// On (date) pursuantto paragraph (b)

// 60 days after filing pursuant to paragraph(a)(1)

// On (date) pursuant to paragraph (a)(1)

// 75 days after filing pursuant to paragraph (a)(2)

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// On (date) pursuant to paragraph (a)(2) of Rule 485

 Ifappropriate, check the following box:

// Thispost-effective amendment designates a new effective date for a previously filed post-effective amendment.

 

Page3

EXHIBITS

|                                                  |        |
|-------------------------------------------------------|-------------|
| Exhibit                                               | Exhibit No. |
| XBRL Instance Document                                | EX-101.INS  |
| XBRL Taxonomy Extension SchemaDocument                | EX-101.SCH  |
| XBRL Taxonomy Extension Calculation Linkbase Document | EX-101.CAL  |
| XBRL Taxonomy Extension DefinitionLinkbase Document   | EX-101.DEF  |
| XBRL Taxonomy Extension Labels Linkbase Document      | EX-101.LAB  |
| XBRL Taxonomy Extension PresentationLinkbase Document | EX-101.PRE  |

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Signatures

Pursuantto the requirements of the Securities Act of 1933, as amended, and the Investment Company Act of 1940,as amended, the Registrant certifies that it meets all of the requirements for effectiveness of thisRegistration Statement pursuant to Rule 485(b) under the Securities Act of 1933 and has duly caused thisRegistration Statement to be signed on its behalf by the undersigned, duly authorized, in the City ofBaltimore, State of Maryland, this July 15, 2019.

 T.ROWE PRICE TAX-FREE INCOME FUND, INC.

 /s/DavidOestreicher

By: David Oestreicher

 Director and ExecutiveVice President

Pursuant to the requirements of the Securities Act of 1933, as amended, this RegistrationStatement has been signed below by the following persons in the capacities and on the dates indicated:

|                    |                                  |          |
|-------------------------|---------------------------------------|---------------|
| Signature               | Title                                 | Date          |
|                    |                                  |          |
|                    |                                  |          |
| /s/David Oestreicher    | Director (Principal ExecutiveOfficer) | July 15, 2019 |
| DavidOestreicher        | and Executive Vice President          |          |
|                    |                                  |          |
|                    |                                  |          |
| /s/Catherine D. Mathews | Treasurer                             | July 15, 2019 |
| CatherineD. Mathews     | (Principal Financial Officer)         |          |
|                    | and Vice President                    |          |
|                    |                                  |          |
| *                       |                                  |          |
| Teresa Bryce Bazemore   | Director                              | July15, 2019  |
|                    |                                  |          |
|                    |                                  |          |
| *                       |                                  |          |
| Ronald J. Daniels       | Director                              | July15, 2019  |
|                    |                                  |          |
|                    |                                  |          |
| *                       |                                  |          |
| Bruce W. Duncan         | Director                              | July15, 2019  |
|                    |                                  |          |
|                    |                                  |          |
| *                       |                                  |          |
| Robert J. Gerrard, Jr.  | Chairman of the Board                 | July 15, 2019 |
|                    | and Director                          |          |
|                    |                                  |          |
| *                       |                                  |          |
| Paul F. McBride         | Director                              | July15, 2019  |
|                    |                                  |          |
|                    |                                  |          |
| *                       |                                  |          |
| Cecilia E. Rouse        | Director                              | July15, 2019  |
|                    |                                  |          |
|                    |                                  |          |
| *                       |                                  |          |
| John G. Schreiber       | Director                              | July15, 2019  |
|                    |                                  |          |

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|                  |             |          |
|-----------------------|------------------|---------------|
|                  |             |          |
|                  |             |          |
| /s/Robert W. Sharps   | Director         | July15, 2019  |
| Robert W. Sharps      |             |          |
|                  |             |          |
|                  |             |          |
| */s/David Oestreicher | Attorney-In-Fact | July 15, 2019 |
| David Oestreicher     |             |          |

Page6

T.ROWE PRICE BALANCED FUND, INC.

T. ROWE PRICE BLUE CHIP GROWTH FUND, INC.

T. ROWE PRICE CAPITAL APPRECIATION FUND, INC.

T.ROWE PRICE CAPITAL OPPORTUNITY FUND, INC.

T. ROWE PRICE COMMUNICATIONS & TECHNOLOGY FUND, INC.

T. ROWE PRICE CORPORATE INCOMEFUND, INC.

T.ROWE PRICE CREDIT OPPORTUNITIES FUND, INC.

T. ROWE PRICE DIVERSIFIED MID-CAP GROWTH FUND, INC.

T. ROWE PRICE DIVIDEND GROWTHFUND, INC.

T.ROWE PRICE EQUITY INCOME FUND, INC.

T. ROWE PRICE EQUITY SERIES, INC.

T. ROWE PRICE FINANCIAL SERVICESFUND, INC.

T.ROWE PRICE FIXED INCOME SERIES, INC.

T. ROWE PRICE FLOATING RATE FUND, INC.

T. ROWE PRICE GLOBAL ALLOCATIONFUND, INC.

T.ROWE PRICE GLOBAL MULTI-SECTOR BOND FUND, INC.

T. ROWE PRICE GLOBAL REAL ESTATE FUND, INC.

T. ROWE PRICE GLOBAL TECHNOLOGYFUND, INC.

T.ROWE PRICE GNMA FUND, INC.

T. ROWE PRICE GOVERNMENT MONEY FUND, INC.

T. ROWE PRICE GROWTH & INCOME FUND, INC.

T.ROWE PRICE GROWTH STOCK FUND, INC.

T. ROWE PRICE HEALTH SCIENCES FUND, INC.

T. ROWE PRICE HIGH YIELD FUND,INC.

T.ROWE PRICE INDEX TRUST, INC.

T. ROWE PRICE INFLATION PROTECTED BOND FUND, INC.

T. ROWE PRICE INSTITUTIONALEQUITY FUNDS, INC.

T. ROWE PRICE INSTITUTIONAL INCOME FUNDS, INC.

T. ROWE PRICE INSTITUTIONAL INTERNATIONAL FUNDS,INC.

T.ROWE PRICE INTERMEDIATE TAX-FREE HIGH YIELD FUND, INC.

T. ROWE PRICE INTERNATIONAL FUNDS, INC.

T.ROWE PRICE INTERNATIONAL INDEX FUND, INC.

T. ROWE PRICE INTERNATIONAL SERIES, INC.

T. ROWE PRICE LIMITED DURATIONINFLATION FOCUSED BOND FUND, INC.

T. ROWE PRICE MID-CAP GROWTH FUND, INC.

T. ROWE PRICE MID-CAP VALUEFUND, INC.

T.ROWE PRICE MULTI-SECTOR ACCOUNT PORTFOLIOS, INC.

T. ROWE PRICE MULTI-STRATEGY TOTAL RETURN FUND, INC.

T. ROWE PRICE NEW AMERICA GROWTHFUND, INC.T. ROWE PRICE NEW ERA FUND, INC.

T. ROWE PRICE NEW HORIZONS FUND, INC.

T. ROWE PRICE NEW INCOME FUND,INC.

T.ROWE PRICE PERSONAL STRATEGY FUNDS, INC.

T. ROWE PRICE QUANTITATIVE MANAGEMENT FUNDS, INC.

T. ROWE PRICE REAL ASSETS FUND,INC.

T.ROWE PRICE REAL ESTATE FUND, INC.

T. ROWE PRICE RESERVE INVESTMENT FUNDS, INC.

T. ROWE PRICE RETIREMENT FUNDS,INC.

T.ROWE PRICE SCIENCE & TECHNOLOGY FUND, INC.

T. ROWE PRICE SHORT-TERM BOND FUND, INC.

Page7

T.ROWE PRICE SMALL-CAP STOCK FUND, INC.

T. ROWE PRICE SMALL-CAP VALUE FUND, INC.

T. ROWE PRICE SPECTRUM FUND,INC.

T.ROWE PRICE STATE TAX-FREE FUNDS, INC.

T. ROWE PRICE SUMMIT FUNDS, INC.

T. ROWE PRICE SUMMIT MUNICIPALFUNDS, INC.

T.ROWE PRICE TAX-EFFICIENT FUNDS, INC.

T. ROWE PRICE TAX-EXEMPT MONEY FUND, INC.

T. ROWE PRICE TAX-FREE HIGHYIELD FUND, INC.

T. ROWE PRICE TAX-FREE INCOME FUND, INC.

T. ROWE PRICE TAX-FREE SHORT-INTERMEDIATE FUND,INC.

T.ROWE PRICE TOTAL RETURN FUND, INC.

T. ROWE PRICE U.S. BOND ENHANCED INDEX FUND, INC.

T. ROWE PRICE U.S. LARGE-CAPCORE FUND, INC.

T. ROWE PRICE U.S. TREASURY FUNDS, INC.

T. ROWE PRICE VALUE FUND, INC.

POWER OF ATTORNEY

 RESOLVED,that the Corporation does hereby constitute and authorize Darrell N. Braman, Catherine D. Mathews, MargeryK. Neale, and David Oestreicher, and each of them individually, their true and lawful attorneys and agentsto take any and all action and execute any and all instruments which said attorneys and agents may deemnecessary or advisable to enable the Corporation to comply with the Securities Act of 1933, as amended,and the Investment Company Act of 1940, as amended, and any rules, regulations, orders or other requirementsof the United States Securities and Exchange Commission thereunder, in connection with the registrationunder the Securities Act of 1933, as amended, of shares of the Corporation, to be offered by the Corporation,and the registration of the Corporation under the Investment Company Act of 1940, as amended, includingspecifically, but without limitation of the foregoing, power and authority to sign the name of the Corporationon its behalf, and to sign the names of each of such directors and officers on his or her behalf as suchdirector or officer to any (i) Registration Statement on Form N-1A or N-14 of the Corporation filedwith the Securities and Exchange Commission under the Securities Act of 1933, as amended; (ii) RegistrationStatement on Form N-1A or N-14 of the Corporation under the Investment Company Act of 1940, as amended;(iii) amendment or supplement (including, but not limited to, Post-Effective Amendments adding additionalseries or classes of the Corporation) to said Registration Statement; and (iv) instruments or documentsfiled or to be filed as a part of or in connection with such Registration Statement, including ArticlesSupplementary, Articles of Amendment, and other instruments with respect to the Articles of Incorporationof the Corporation.

 IN WITNESS WHEREOF, the above namedCorporations have caused these presents to be signed and the same attested by its Assistant Secretary,each thereunto duly authorized by its Board of Directors, and each of the undersigned has hereunto sethis or her hand and seal as of the day set opposite his or her name.

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|                                           |                                                            |           |
|------------------------------------------------|-----------------------------------------------------------------|----------------|
| /s/DavidOestreicher                            |                                                            |           |
| David Oestreicher 

/s/Catherine D. Mathews    | ExecutiveVice President (Principal Executive Officer)

Director | April 29, 2019 |
| Catherine D. Mathews

/s/Teresa Bryce Bazemore | Treasurer(Principal Financial Officer)

Vice President          | April 29, 2019 |
| TeresaBryce Bazemore

/s/Ronald J. Daniels     | Director                                                        | April29, 2019  |
| Ronald J. Daniels

/s/Bruce W. Duncan          | Director                                                        | April29, 2019  |
| Bruce W. Duncan

/s/Robert J. Gerrard, Jr.     | Director                                                        | April 29, 2019 |
| Robert J. Gerrard, Jr.

/s/Paul F. McBride     | Director                                                        | April 29, 2019 |
| Paul F. McBride

/s/Cecilia E. Rouse           | Director                                                        | April 29, 2019 |
| Cecilia E. Rouse

/s/John G. Schreiber         | Director                                                        | April 29, 2019 |
| John G. Schreiber

/s/Robert W. Sharps         | Director                                                        | April 29, 2019 |
| RobertW. Sharps                                | Director                                                        | April 29, 2019 |

(SignaturesContinued)

Page9

ATTEST:

/s/Shannon HofherRauser

|                                      |   |   |
|-------------------------------------------|--------|--------|
| ShannonHofher Rauser, Assistant Secretary |   |   |